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The raw materials of this memory are different representations that can be found on the Web.
We prove that for two-level factorial designs the proposed estimators are different representations of a single estimator.
As different views are different representations of the same set of instances, we can simultaneously use information from multiple views to improve the clustering results generated by the limited information from a single view.
Marr's three levels are different representations of the same process.
The two curves 4.5-D and that of Figure 4.10 are different representations of the same situation.
Note that the square of the contribution of each frequency is the power of that frequency to the total spectrum, and the total power of spectral analysis (area under the curve of the power spectrum) is equal to the variance described above (they are different representations of the same measure) [ 11].
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Note that v in (24) and v ∼ in (26) are different vector representations of the same function v ∈ W ∼ h ⊂ Π V h.
The multiple rows for each stereochemistry type are different internal representation that would be considered equivalent.
But if learning is tied to representation and if there are different kinds of representation (analogies, idealizations, etc)., then there are also different kinds of learning.
Perfect reconstruction, while not mandatory for image quality assessment is a valuable property for a representation in early vision not because a visual system needs to literally reconstruct the image from its representation but rather because it guarantees that no information has been lost, ie that if two images are different then their representations are different also [7].
The de re and de dicto readings are different, both need representation, and we cannot manage this with the customary syntax.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com